This paper presents the moment of fluid method as a liquid/gas interface reconstruction method coupled with a mass momentum conservative approach within the context of numerical simulations of incompressible two-phase flows. This method tracks both liquid volume fraction and phase centroid for reconstructing the interface. The interface reconstruction is performed in a volume (and mass) conservative manner and accuracy of orientation of interface is ensured by minimizing the centroid distance between original and reconstructed interface. With two-phase flows, moment of fluid method is able to reconstruct interface without needing phase volume data from neighboring cells. The performance of this method is analyzed through various transport and deformation tests, and through simple two-phase flows tests that encounter changes in the interface topologies. Exhaustive mesh convergence study for the reconstruction error has been performed through various transport and deformation tests involving simple two-phase flows. It is then applied to simulate atomization of turbulent liquid diesel jet injected into a quiescent environment. The volume conservation error for the moment of fluid method remains small for this complex turbulent case.

中文翻译：

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用于模拟复杂湍流多相流的 3D 流体矩方法

本文在不可压缩两相流的数值模拟背景下，将流体矩法作为一种液/气界面重建方法与质量动量保守方法相结合。该方法跟踪液体体积分数和相质心以重建界面。界面重建以体积（和质量）保守的方式进行，并通过最小化原始界面和重建界面之间的质心距离来确保界面定向的准确性。对于两相流，流体矩方法能够在不需要来自相邻单元的相体积数据的情况下重建界面。该方法的性能通过各种运输和变形试验进行分析，并通过遇到接口拓扑变化的简单两相流测试。通过涉及简单两相流的各种传输和变形测试，对重建误差进行了详尽的网格收敛研究。然后将其应用于模拟注入静止环境的湍流液体柴油射流的雾化。对于这种复杂的湍流情况，流体矩法的体积守恒误差仍然很小。